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1、LectureNotesinControlandInformationSciencesEditedbyA.V.BalakrishnanandM.Thoma12lanPostlethwaiteAlistairG.J.MacFarlaneAComplexVariableApproachtotheAnalysisofLinearMultivariableFeedbackSystemsSpringer-VerlagBerlinHeidelbergNewYork1979SeriesEditorsA.V.BalakrishnanM.ThomaAdvisoryBoar
2、dA.G.J.MacFarlaneH.KwakernaakYa.Z.TsypkinAuthorsDr.I.Postlethwaite,ResearchFellow,TrinityHall,Cambridge,andSRCPostdoctoralResearchFellow,EngineeringDepartment,UniversityofCambridge.ProfessorA.G..I.MacFarlane,EngineeringDepartment,UniversityofCambridge,ControlandManagementSystemsD
3、ivision,MillLaqe,CambridgeCB21RX.ISBN3-540-09340-0Springer-VerlagBerlinHeidelbergNewYorkISBN0-387-09340-0Springer-VerlagNewYorkHeidelbergBerlinThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallythoseoftranslation,re-printin
4、g,re-useofillustrations,broadcasting,reproductionbyphotocopyingmachineorsimilarmeans,andstorageindatabanks.Under§54oftheGermanCopyrightLawwherecopiesaremadeforotherthanprivateuse,afeeispayabletothepublisher,theamountofthefeetobedeterminedbyagreementwiththepublisher.©bySpringer-Ve
5、rlagBerlinHeidelberg1979PrintedinGermanyPrintingandbinding:BeltzOffsetdruck,Hemsbach/Bergstr.2061/3020-543210ContentsCHAPTER1Introducti0n1References6CHAPTER2Preliminaries82.1Systemdescription82.2Feedbackconfigurationii2.3Stability132.3-1Freesystems132.3-2Forcedsystems162.4Relatio
6、nshipbetweenopen-andclosed-loopcharacteristicpolynomialsforthegeneralfeedbackconfiguration17References20CHAPTER3Characteristicgainfunctionsandcharacteristicfrequency'functions223.1Dualitybetweenopen-loopgainandclosed-loopfrequency223.2Algebraicfunctions:characteristicgainfunction
7、sandcharacteristicfrequencyfunctions253.3Characteristicgainfunctions273.3-1Polesandzerosofacharacteristicgainfunction293.3-2Algebraicdefinitionofpolesandzerosforatransferfunctionmatrix323.3-3Relationshipbetweenalgebraicallydefinedpoles/zerosoftheopen-loopgainmatrixG(s)andthepoles
8、/zerosofthecorrespondingsetofcharacteris